if w≠0, what is the additive inverse of the expression -3/w

Answer:

Yes, you have enought money

Step-by-step explanation:

45 times 107% (100 for the total cost and and 7 for the tax) is equal to 48.15. You have 50 dollars, therefore you can buy your shoes.

Answer: $28 per week

Step-by-step explanation:

1 month = 4 weeks

18 times 4 = 72 weeks

So you know you want to save 2000 to buy a car 72 weeks from now.

So take 2000 divided by 72 = $27.77 per week

So you need to save about $28 per week.

Answer:

  $7,686.34

Step-by-step explanation:

You want to know the amount that needs to be invested at 5.1% compounded continuously for 10 years to achieved an account value of $12,800.

The value of an account accumulating interest at rate r compounded continuously is ...

  A = P·e^(rt)

where P is the principal invested and t is the number of years.

We want to find P for A=12800, r=0.051, t=10.

  12800 = P·e^(0.051·10)

  12800·e^-0.51 = P ≈ 7686.34

Enola needs to invest $7,686.34 for the account value to reach $12,800 in 10 years.

__

Additional comment

Dividing by e^0.51 is the same as multiplying by e^-0.51.

<95141404393>

Enola needs to invest $7,686.34 for the account value to reach $12,800 in 10 years.

You want to know the amount that needs to be invested at 5.1% compounded continuously for 10 years to achieved an account value of $12,800.

The value of an account accumulating interest at rate r compounded continuously is ...

 A = P·\(e^{rt}\)

where P is the principal invested and t is the number of years.

We want to find P for A=12800, r=0.051, t=10.

 12800·\(e^{-0.51 }\) = P ≈ 7686.34

Enola needs to invest $7,686.34 for the account value to reach $12,800 in 10 years.

Learn more about interest

https://brainly.com/question/29451175

#SPJ1

The probability of an increase in house sales and no increase in house sales will occur in the next 6 months is 0.09.

The event that an increase in house sales and no increase in house sales will occur in the next 6 months are:

1) The probability of house sales to increase in the next 6 months is estimated to be 0.25, then the probability of no increase is 0.75.

2) The probability that house sales or interest rates will go up during the next 6 months is estimated to be 0.89,

then the probability that interest rates will go up is 0.89 - 0.25

= 0.64.

3) The probability of an increase in house sales and no increase in interest rates

= Probability of increase in house sales * Probability of no increase in interest rates

= 0.25 * (1 - 0.64)

= 0.25 * 0.36

= 0.09

Therefore, the probability of an increase in house sales and no increase in house sales will occur in the next 6 months is 0.09.

To know more about probability visit:

https://brainly.com/question/31828911

#SPJ11

The difference between the face value ($4,000) and the calculated value ($3,094.59) of the bond is due to the difference in the current yield to maturity and the coupon rate.

To find the value of the bond, we can use the formula for the present value of a bond:

Bond Value = (Coupon Payment / \((1 + Yield/2)^(2n))\) + (Face Value / (1 + \(Yield/2)^(2n))\)

Where:

Coupon Payment = (8.1% / 2) * Face Value

Yield = 14.62% (expressed as a decimal)

n = number of coupon periods remaining = (26 - 6) * 2

Plugging in the values, we get:

Coupon Payment = (8.1% / 2) * $4,000 = $162

n = (26 - 6) * 2 = 40

Using a financial calculator or spreadsheet, we can calculate the present value of the bond to be $3,094.59.

The difference between the face value ($4,000) and the calculated value ($3,094.59) of the bond is due to the difference in the current yield to maturity and the coupon rate.

Learn more about statistics here:

https://brainly.com/question/30915447

#SPJ11

Answer:

0.38 cents

Step-by-step explanation:

4.94 divided by 13 is 0.38. Hope this helps.

Answer: $0.38

Worded explanation:

4.94 divided by 13 equals 0.38, making your answer $0.38

Unworded explanation:

4.94/13 = 0.38

$0.38

Answer:

The distance from the helicopter to the further observer is:

d = 12.77 miles

Step-by-step explanation:

The observer with 19.5° of elevation will be denoted by 1

The observer with 31.2° of elevation will be denoted by 2.

Here we have two right triangles. Both of them have the same opposite sides, so will be useful to use the tangent function.

For the second observer:

\(tan(31.2)=\frac{h}{x}\) (1)

Where:

For the first observer:

\(tan(19.5)=\frac{h}{5+x}\) (2)

Where:

Let's find x from equations (1) and (2). Both of them have the variable "h" so we can equal these equations.

\(xtan(31.2)=(5+x)tan(19.5)\)

\(x(tan(31.2)-tan(19.5))=5tan(19.5)\)

\(x=\frac{5tan(19.5)}{tan(31.2)-tan(19.5)}\)

\(x=7.04\: miles\)

Now, if we use the right triangle with 19.5° of elevation, the hypotenuse will be the distance from the helicopter and the further observer (let's call d).

Let's use the cosine function to find d.

\(cos(19.5^{\cric})=\frac{5+x}{d}\)

\(d=\frac{5+7.04}{cos(19.5^{\cric})}\)

\(d=12.77\: miles\)

I hope it helps you!

Answer:

27 miles, 40.5 miles, and 47.25 miles

Step-by-step explanation:

9 miles in 2/3 hours. To get to a whole number, we can multiply by the reciprocal of 2/3, which is 3/2. 2/3*3/2=1. Now lets multiply 9 by 3/2. 9*3/2=13.5

We now have a unit rate which is 13.5 miles each hour.

Now lets solve for 2 hours.

13.5*2= 27 miles

Now lets solve for 3 hours.

13.5*3=40.5 miles

Now lets solve for 3.5

13.5*3.5= 47.25 miles

Given, surface equation z=3x²−5y². Point on the surface (4,5,-62).a) The equation of the tangent plane to the surface at the point (4,5,−62)The tangent plane equation is given by: z - f(x,y) = ∂f/∂x (x - a) + ∂f/∂y (y - b)Substitute the given values and calculate the partial derivatives.

\(z - 3x² + 5y² = ∂f/∂x (x - 4) + ∂f/∂y (y - 5)\)Differentiating partially with respect to x, we get, ∂f/∂x = 6xSimilarly, differentiating partially with respect to y, we get, ∂f/∂y = -10ySubstitute the partial derivatives, x, y and z values in the equation,z - 3x² + 5y² = (6x) (x - 4) + (-10y) (y - 5)Simplify, 3x² + 5y² + 6x (4 - x) - 10y (5 - y) - z = 0Substitute the given values, \(3(4)² + 5(5)² + 6(4) (4 - 4) - 10(5) (5 - 5) - (-62) = 0On\) simplification, we get, the equation of the tangent plane is: 6x - 10y - z + 151 = 0b)

The symmetric equations of the normal line to the surface at the point (4,5,−62)The normal vector to the surface at point (4,5,-62) is given by: (∂f/∂x, ∂f/∂y, -1)Substitute the given values, (∂f/∂x, ∂f/∂y, -1) = (6x, -10y, -1) at (4,5,-62)The normal vector at point (4,5,-62) is (24, -50, -1). The symmetric equations of the normal line are given by, x-4/24=y-5/-50=z+62/(-1)On simplification, we get, the required symmetric equation is: \(x-4/24=y-5/50=-(z+62)/1. Answer: x-4/24=y-5/50=-(z+62)/1\).

To know more about tangent visit:

https://brainly.com/question/10053881

#SPJ11

Answer:Makes about four dozen cookies. Shortbreads by Liz Bottner Ingredients: 1 cup sugar 2 cups cornstarch 4 cups flour pinch salt 1 pound butter.

Step-by-step explanation:

ask gooogle 12345678901234567890

       A mathematical statement indicating an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.

|x+1/3| < 3/2.

Consider the center of the group of numbers that fulfill 2|x+1/3|3 to be x = -1/3.

The maximum value of this set is obtained by adding 3/2 to this -1/3:

-1/3 + 3/2, or -2/6 + 9/6, or 7/6.

The bottom limit of this solution set is obtained by subtracting 3/2 from this and then -1/3:

-1/3 - 3/2, or -2/6 - 9/6, or - 11/6.

The answer range is (7/6, -11/6).

To Learn more about Inequality 2|x+1/3|3, Refer:

https://brainly.com/question/10596494

#SPJ13

hello! here is your answer

Answer:

1) ∠2 ≅ ∠7

⇒ they are corresponding angles

2) ∠5 ≅ ∠9

⇒ they are alternate interior angles

3) ∠4 ≅ ∠7

⇒ they are vertically opposite angles

4) if ∠3 ≅ ∠8, then p║q

⇒ they are corresponding angles

5) ∠3 ≅ ∠9

⇒ they are vertically opposite angles

6) m∠2 + m∠3 = 180

⇒ they are co-interior angles

7) ∠4 is vertical to ∠7

8) ∠2 and∠3 are same side interior angles

9) ∠5 corresponds to ∠8

10) one alternate exterior pair is ∠1 and ∠8

hope it helps you!!

When the scale factor k = 0, then the dilation is in a reduction.

What is dilation?

A dilation is a transformation that creates an image that has the same shape as the original but is larger.

• An enlargement is a dilation that produces a larger image.

• A reduction is a dilation that produces a smaller image.

• A dilation expands or contracts the original figure.

A description of a dilation includes the scale factor (or ratio) and the center of the dilation.

• If the scale factor is between 0 and 1, the image is a reduction,

Hence, if the scale factor k = 0, then the dilation is in a reduction.

To learn more about dilation, visit:

brainly.com/question/11914738

#SPJ4

Answer:

all of them are right answers

\(x = \frac{24}{23 \\ } \)

or

\(x = 1.04\)

or

\(x = 1 \frac{1}{23} \)

Answer:

B. \( 108 \: {in}^{2} \)

Step-by-step explanation:

Total surface area of the square pyramid

= 4 times the area of one triangle + Area of square

\( = 4 \times \frac{1}{2} \times 6 \times 6 + {6}^{2} \\ \\ = 72 + 36 \\ \\ = 108 \: {in}^{2} \)

The period of the function based on the information will be D. 2π.

The period of the function is the interval between repetitions of any function. A trigonometric function's period is the length of one whole cycle.

One cycle of the sine curve's length is referred to as its period. The period of the function is the minimum value of the dependent variable x after which the function will repeat itself.

f(x + k) = f(x).

-2sin(k + x) + 2 = 2sinx + 1

sin(k + x) = sin(2π + x)

k + x = 2π + x

k = 2π

The period is 2π.

Learn more about period on:

https://brainly.com/question/26486072

#SPJ1

The table provides various values, including all minimums and maximums, of a cosine function f (x) on the interval [0, 2π].

Angle 0 pi over 6 pi over 2 5 pi over 6 3 times pi over 2 2π

f (x) 1 0 –1 0 3 1

What is the period of the function?

A) 2 times pi over 3

B) pi over 2

C) π

D) 2π

The final calculation revealed that the height of the mountain was approximately 350.1 meters.

Back in their workshop, Alex applied the tangent function to find the mountain's height. They knew that tangent is the ratio of the opposite side (the height) to the adjacent side (the horizontal distance). Setting up the equation, they plugged in the known values:

tangent(35 degrees) = height / 500 meters

Using trigonometric tables or a calculator, they found that the tangent of 35 degrees is approximately 0.7002. Now they could solve the equation:

0.7002 = height / 500 meters

To isolate the height, they multiplied both sides of the equation by 500:

0.7002 * 500 meters = height

The final calculation revealed that the height of the mountain was approximately 350.1 meters.

With this crucial information, Alex and Sarah could now design the bridge

Learn more about trigonometry on

https://brainly.com/question/24349828

#SPJ1

Answer:

572,000 thats your answer

Answer:

572,000

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Correct me if I’m wrong it’s been a while but I think u add 3 + 3 + 2+ 2

Answer:

It is 10

Step-by-step explanation:

In order to do perimeter you need to add each corners value, in this case a to B is one side and A to D is another, in order to get from A to B you have to walk 3 units, so their is our first part, now for the second you need to walk from point a to point D which if you do it will be 4 units.

Now we have 2 numbers, 4 and 3, We still have the other side but it will be the same, so you will do 4+4 and 3+3, in this case it will be 8+6 so the answer should be 14. I might be wrong.

a. The growth rate of zt in terms of gx and gy is given by gz = α × gx + (1-α) × gy.

b. The growth rate of zt in terms of gx and gy is given by gz = β × gx - gy.

To solve for the growth rate of zt in terms of gx and gy for the equation zt = xt²α × yt²(1-α):

Taking the natural logarithm of both sides:

ln(zt) = ln(xt²α × yt²(1-α))

Using the logarithmic property ln(a×b) = ln(a) + ln(b):

ln(zt) = ln(xt²α) + ln(yt²(1-α))

Applying the power rule of logarithms ln(a²b) = b × ln(a):

ln(zt) = α ×ln(xt) + (1-α) × ln(yt)

Differentiating both sides with respect to t:

d/dt ln(zt) = α ×d/dt ln(xt) + (1-α) × d/dt ln(yt)

The left-hand side represents the growth rate of zt (denoted as gz). Similarly, the right-hand side represents the growth rates of xt (gx) and yt (gy):

gz = α × gx + (1-α) × gy

(b) To solve for the growth rate of zt in terms of gx and gy for the equation zt = α × xt²β / yt:

Taking the natural logarithm of both sides:

ln(zt) = ln(α × xt²β / yt)

Using the logarithmic properties ln(a/b) = ln(a) - ln(b) and ln(ac) = c ×ln(a):

ln(zt) = ln(α) + ln(xt²β) - ln(yt)

Applying the power rule of logarithms ln(a²b) = b × ln(a):

ln(zt) = ln(α) + β × ln(xt) - ln(yt)

Differentiating both sides with respect to t:

d/dt ln(zt) = β ×d/dt ln(xt) - d/dt ln(yt)

The left-hand side represents the growth rate of zt (denoted as gz). Similarly, the right-hand side represents the growth rates of xt (gx) and yt (gy):

gz = β × gx - gy

To know more about rate here

https://brainly.com/question/28287556

#SPJ4

करना चाहिए। वे तुम्हें नष्ट कर देंगे।

आप कोई मौका नहीं खड़े हैं। तुम

उसके हाथ पर मर जाओगे। पछताना

The trout's velocity relative to the water is 1.59 m/s.

To determine the trout's velocity relative to the water, we can analyze its motion in both downstream and upstream scenarios.

Given:

Distance traveled downstream = 21.3 m

Time taken downstream = 13.4 s

Time taken upstream = 29.8 s

When the trout swims downstream, it benefits from the stream's current, which adds to its own velocity. The trout's velocity relative to the water (v_trout) can be calculated by dividing the distance traveled downstream by the time taken downstream:

v_trout = Distance traveled downstream / Time taken downstream

v_trout = 21.3 m / 13.4 s

v_trout ≈ 1.59 m/s

Therefore, the trout's velocity relative to the water is approximately 1.59 m/s.

When the trout swims downstream, the water's velocity relative to the ground is added to the trout's velocity relative to the water. This results in a faster speed for the trout compared to when it swims upstream against the current.

In the downstream scenario, the distance traveled (21.3 m) divided by the time taken (13.4 s) gives us the average velocity of the trout relative to the water during that period. This average velocity takes into account the combined effect of the trout's own swimming speed and the stream's current, resulting in a value of approximately 1.59 m/s.

By swimming upstream, the trout is now swimming against the current. This causes a decrease in its overall speed. The time taken to cover the same distance (21.3 m) upstream is longer (29.8 s) compared to downstream. This indicates that the trout's velocity relative to the water is slower when swimming against the current.

In summary, the trout's velocity relative to the water is 1.59 m/s when swimming in the stream. This velocity represents the trout's own swimming speed, accounting for the stream's current, and is determined by dividing the distance traveled by the time taken in the downstream scenario.

Learn more about time here:

brainly.com/question/26941752

#SPJ11

A. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not.

B. The source of the variability is due to chance or sampling error, which arises from taking a sample instead of surveying the entire population.

C.  The sampling distribution of p is approximately normal.

D. We find that the probability is 0.0912 or about 9.12%.

E. We get:z = (0.75 - 0.82) / sqrt[0.82(1-0.82)/100] = -2.29

a. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not.

b. The sample proportion, p, is a random variable because it varies from sample to sample. The source of the variability is due to chance or sampling error, which arises from taking a sample instead of surveying the entire population.

c. The sampling distribution of p is approximately normal if the sample size is sufficiently large and if np ≥ 10 and n(1-p) ≥ 10, where n is the sample size and p is the population proportion. In this case, we have:

Sample size (n) = 100

Population proportion (p) = 0.82 Thus, np = 82 and n(1-p) = 18, both of which are greater than 10. Therefore, the sampling distribution of p is approximately normal.

d. To calculate the probability that the proportion who are satisfied with the way things are going in their life exceeds 0.85, we need to find the z-score and then look up the corresponding probability from the standard normal distribution table. The formula for the z-score is:

z = (p - P) / sqrt[P(1-P)/n]

where p is the sample proportion, P is the population proportion, and n is the sample size. Substituting the given values, we get:

z = (0.85 - 0.82) / sqrt[0.82(1-0.82)/100] = 1.33

Looking up the corresponding probability from the standard normal distribution table, we find that the probability is 0.0912 or about 9.12%.

e. Yes, it would be unusual for a survey of 100 Americans to reveal that 75 or fewer are satisfied with the way things are going in their life. To check if it is unusual or not, we need to calculate the z-score and find its corresponding probability from the standard normal distribution table. The formula for the z-score is:

z = (p - P) / sqrt[P(1-P)/n]

where p is the sample proportion, P is the population proportion, and n is the sample size. Substituting the given values, we get:

z = (0.75 - 0.82) / sqrt[0.82(1-0.82)/100] = -2.29

Looking up the corresponding probability from the standard normal distribution table, we find that the probability is 0.0106 or about 1.06%. Since this probability is less than 5%, it would be considered unusual to observe 75 or fewer Americans being satisfied with the way things are going in their life.

Learn more about   distribution  from

https://brainly.com/question/23286309

#SPJ11

Given: 8 runners

To Determine: number of ways the runners would be rewarded

Solution

Using the multiplication principle

Hence, the number of ways they can be rewarded is god, silver and bronze is 336

Answer:

If your looking for #11 I think the answers -5

Step-by-step explanation:

Answer:

When x < 0 (Option 1)

Step-by-step explanation:

The answer to your question would be Option 1, or when x < 0. When you create a table with f(x) and g(x), they're only ever equal when x = 0, which is when f(x) and g(x) both equal 1. When the numbers go into negatives for each equation, f(x) becomes exponentially bigger. Making f(x) > g(x) true when x < 0.

Hope this helps!

The three  Lera, Victor and Oksana will meet in the pool again in 60 days

The question is solved using the concept of Least common multiple: The Least common multiple refers to the least multiple that 12, 10, and 4 have in common

we therefore solve the LCM as follows

2 | 12, 4, 10

2 | 6,  2,  5

3 | 3,  1,   5

5 | 1,   1,   5

 | 1,  1,   1

=  2 * 2 * 3 * 5

=   60

From the calculation the numbers 4, 10, 12 have a least common multiple of 60. Therefore the Lera, Victor and Oksana will meet in the swimming pool 60 days.

Learn more about Lowest common multiple: https://brainly.com/question/16054958

#SPJ1

Evidence points to the Egyptians using gypsum mortar – also known as plaster of Paris – in constructing pyramids during the Pharaonic period. The first Egyptologist to identify this method was Alfred Lucas in 1926.